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Wavelets and Lattice Field Theory. [PDF]
EPJ Web of Conferences, 2018 When continuous fields are expanded in a wavelet basis, a D-dimensional continuum action becomes a (D+1)-dimensional lattice action on the naively discretized Poincare-patch coordinates of an Euclidean AdS(D+1).
Neuberger Herbert
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A Gentle Introduction to Lattice Field Theory [PDF]
EntropyThe principles of Lattice Field Theory (LFT), in particular Lattice Gauge Theory (LGT), are explained for a nonspecialist audience. We describe some of the successes of the program; we also discuss the relationship between LFT and Quantum Cellular ...
Erhard Seiler
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Parafermionic conformal field theory on the lattice [PDF]
Journal of Physics A: Mathematical and Theoretical, 2014 Finding the precise correspondence between lattice operators and the continuum fields that describe their long-distance properties is a largely open problem for strongly interacting critical points.
Roger S. K. Mong +4 more
semanticscholar +13 more sources
Neural Activity in Quarks Language: Lattice Field Theory for a Network of Real Neurons. [PDF]
Entropy (Basel), 2023 Brain–computer interfaces have seen extraordinary surges in developments in recent years, and a significant discrepancy now exists between the abundance of available data and the limited headway made in achieving a unified theoretical framework.
Bardella G +7 more
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Lattice field theory with torsion [PDF]
Physical Review D, 2019 Inspired by the duality between gravity and defects in crystals, we study lattice field theory with torsion. The torsion is realized by a line defect of a lattice, namely, a dislocation. For the first application, we perform the numerical computation for
S. Imaki, A. Yamamoto
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Control variates for lattice field theory [PDF]
Physical Review D, 2023 In most lattice field theories, correlators are plagued by a signal-to-noise problem of exponential difficulty in the time separation. We propose a method for improving the signal-to-noise ratio, in which control variates are systematically constructed ...
Tanmoy Bhattacharya +2 more
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Variational structure of Luttinger-Ward formalism and bold diagrammatic expansion for Euclidean lattice field theory. [PDF]
Proc Natl Acad Sci U S A, 2018 Significance Many-body perturbation theory is one of the pillars of quantum many-body physics and has been used extensively to predict ground-state and excited-state electronic properties of real materials in the past few decades.
Lin L, Lindsey M.
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, 2000 The Feynman diagram expansion of relativistic field theories gives rise to integrals that diverge at short distances or equivalently at large momenta. To have a well-defined theory we need to regulate these divergences. There are many ways to do this, but one that has both practical and conceptual advantages is to put the theory on a discrete space ...
R.D. Kenway
+7 more sources
Fractional Quantum Field Theory: From Lattice to Continuum
Advances in High Energy Physics, 2014 An approach to formulate fractional field theories on unbounded lattice space-time is suggested. A fractional-order analog of the lattice quantum field theories is considered.
Vasily E. Tarasov
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Review on Quantum Computing for Lattice Field Theory [PDF]
Proceedings of The 39th International Symposium on Lattice Field Theory — PoS(LATTICE2022), 2023 In these proceedings, we review recent advances in applying quantum computing to lattice field theory. Quantum computing offers the prospect to simulate lattice field theories in parameter regimes that are largely inaccessible with the conventional Monte
L. Funcke +3 more
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